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  • Faculty of Design and Creative Technologies (Te Ara Auaha)
  • School of Engineering, Computer and Mathematical Sciences - Te Kura Mātai Pūhanga, Rorohiko, Pāngarau
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Bornologies and hyperspaces

Cao, J
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NZMS-Colloquium11_Cao.pdf (712.2Kb)
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http://hdl.handle.net/10292/3540
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Abstract
A bornology on a nonempty set X is a family of subsets of X that is closed under taking finite unions, that is hereditary, and that forms a cover of X. Bornologies have been widely applied in functional analysis and topology to form the general framework in the theory of locally convex spaces and to provide an axiomatic approach to boundedness in topology. Recently, there has been renewed interest in bornologies in topology, mainly stemming from hyperspace theory. In this talk, I shall present some recent results of mine and others on hyperspaces generated by various bornologies. I shall also discuss some open problems in this direction.
Date
December 6, 2011
Source
New Zealand Mathematical Society Colloquium, 6 – 8 December 2011 University of Auckland
Item Type
Conference Contribution
Publisher
New Zealand Mathematical Society
Publisher's Version
http://nzmathsoc.org.nz/colloquium/home.php
Rights Statement
NOTICE: this is the author’s version of a work that was accepted for publication. Changes resulting from the publishing process, such as peer review, editing, corrections, structural formatting, and other quality control mechanisms may not be reflected in this document. Changes may have been made to this work since it was submitted for publication.

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